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I. Previously on IET

Union Bound for QPSK BER Performance Given transmitted : ES  Energy per Symbol 2 1 4 3

Union Bound for QPSK BER Performance Given transmitted : ES  Energy per Symbol 2 1 d12 : Euclidian distance between constellation points 1 & 2 P12 : Probability received signal closer to constellation point 2 than constellation point 1 given constellation point 1 transmitted

Union Bound for QPSK BER Performance Given transmitted : ES  Energy per Symbol 1 3 d13 : Euclidian distance between constellation points 1 & 3 P13 : Probability received signal closer to constellation point 3 than constellation point 1 given constellation point 1 transmitted

Union Bound for QPSK BER Performance Given transmitted : ES  Energy per Symbol 1 4 d14 : Euclidian distance between constellation points 1 & 4 P14 : Probability received signal closer to constellation point 4 than constellation point 1 given constellation point 1 transmitted

Union Bound for QPSK BER Performance Given transmitted : ES  Energy per Symbol 2 1 4 3

Union Bound for BER Performance

Union Bound for 8 PSK Modulation BER ES  Energy per Symbol M=8 001 011 000 dmin 001 Θ 010 101 110 111

Union Bound for 16 QAM Modulation BER ES  Energy per Symbol M=16 0010 0011 0001 0000 dmin 0110 0111 0101 0100 1110 1111 1101 1100 1010 1011 1001 1000

Exact vs Union Bound BER Performance 10